Boundary effects for invasion percolation are introduced and discussed here. The presence of boundaries determines a set of critical exponents characteristic of the boundary. In this paper we present numerical simulations showing a remarkably different fractal dimension for the region of the percolating cluster near the boundary. In fact, near the surface we ﬁnd a value ofD sur 51.6760.03, with respect to the bulk value of D bul 51.8760.01. Furthermore, we are able to present a theoretical computation of the fractal dimension near the boundary in fairly good agreement with numerical data.
|Titolo:||Surface effects in invasion percolation|
|Data di pubblicazione:||1997|
|Appare nelle tipologie:||1.1 Articolo in rivista|